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Mean Oscillations and Equimeasurable Rearrangements of Functions

Various applications of equimeasurable function rearrangements to the ''best constant"-type problems are considered in this volume. Several classical theorems are presented along with some very recent results. In particular, the text includes a product-space extension of the Rising Su...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Korenovskii, Anatolii A. (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2007.
Edición:1st ed. 2007.
Colección:Lecture Notes of the Unione Matematica Italiana, 4
Temas:
Acceso en línea:Texto Completo

MARC

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245 1 0 |a Mean Oscillations and Equimeasurable Rearrangements of Functions  |h [electronic resource] /  |c by Anatolii A. Korenovskii. 
250 |a 1st ed. 2007. 
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300 |a VIII, 189 p.  |b online resource. 
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490 1 |a Lecture Notes of the Unione Matematica Italiana,  |x 1862-9121 ;  |v 4 
505 0 |a Preface -- 1.Preliminaries and auxilliary results -- 2. Properties of oscillations and the definition of the BMO-class -- 3.Estimates of rearrangements and the John-Nirenberg theorem -- 4.The BMO-estimates of the Hardy-type transforms -- 5.The Gurov-Reshetnyak class of functions -- Appendix: A.The boundedness of the Hardy-Littlewood maximal operator from BMO into BLO -- B.The weighted analogs of the Riesz lemma and the Gurov-Reshetnyak theorem -- C.Classes of functions satisfying the reverse Hölder inequality -- References -- Index. 
520 |a Various applications of equimeasurable function rearrangements to the ''best constant"-type problems are considered in this volume. Several classical theorems are presented along with some very recent results. In particular, the text includes a product-space extension of the Rising Sun lemma, a product-space version of the John-Nirenberg inequality for bounded mean oscillation (BMO) functions with sharp exponent, a refinement of the Gurov-Reshetnyak lemma, sharp embedding theorems for Muckenhoupt, Gurov-Reshetnyak, reverse Hölder, and Gehring classes, etc. This volume is interesting for graduate students and mathematicians involved with these topics. . 
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